| 引用本文: | 魏文军,尉晶波.拓扑切换下IT2 T-S模糊非线性多智能体系统全局逆最优控制[J].控制理论与应用,2022,39(10):1985~1994.[点击复制] |
| WEI Wen-jun,YU Jing-bo.Global Inverse Optimal Control for IT2 T-S Fuzzy Nonlinear Multi-agent System Under Directed Switching Topologies[J].Control Theory and Technology,2022,39(10):1985~1994.[点击复制] |
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| 拓扑切换下IT2 T-S模糊非线性多智能体系统全局逆最优控制 |
| Global Inverse Optimal Control for IT2 T-S Fuzzy Nonlinear Multi-agent System Under Directed Switching Topologies |
| 摘要点击 1792 全文点击 511 投稿时间：2021-08-23 修订日期：2022-09-14 |
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| DOI编号 10.7641/CTA.2021.10775 |
| 2022,39(10):1985-1994 |
| 中文关键词 非线性多智能体系统 IT2 T-S模糊 全局逆最优 协同控制 拓扑切换 |
| 英文关键词 nonlinear multi-agent system IT2 T-S fuzzy global inverse optimal cooperative control switching topologies |
| 基金项目 国家重点研发计划(2017YFB1201003-20)；光电技术与智能控制教育部重点实验室(兰州交通大学)开放课题(KFKT2020-11) |
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| 中文摘要 |
| 针对连续非线性多智能体系统的全局最优协同控制问题,本文提出了模糊输出反馈和逆最优方法的分布式一致性最优控制律和相应的控制策略.首先,通过一种区间2型T-S (interval type 2 Takagi-Sugeno IT2 T-S)模糊模型将非线性系统等价转化为线性系统.其次,基于逆最优方法设计了全局最优协同控制律和相应的模糊输出反馈控制策略,智能体间仅仅通过局部通信,即可实现拓扑切换下非线性多智能体系统的二次性能全局最优控制,且系统的收敛速度大大提高.基于局部稳定性理论给出了全局逆最优控制的充要条件.最后,通过MATLAB算例验证所提方法的正确性和可行性. |
| 英文摘要 |
| For the global optimal cooperative control problem of continuous nonlinear multi-agent system, this paper proposes a distributed consensus optimal control law with fuzzy output feedback and inverse optimal methods and corresponding control strategies. Firstly, the nonlinear system is equivalent to the linear system by an IT2 T-S fuzzy model. Secondly, the global optimal cooperative control law and the corresponding fuzzy output feedback control strategy are designed based on the inverse optimal method, only through local communication between agents, the quadratic performance global optimal control of nonlinear multi-agent system under switching topologies can be realized, and the convergence speed of the system is greatly improved. Based on the local stability theory, the necessary and sufficient conditions for inverse optimal control are proposed. Finally, the correctness and feasibility of the proposed method are verified by Matlab examples. |